【SAT官方每日一题】8/4/12 Mathematics > Standard Multiple Choice

滚吧肥汤圆UID: 3272378

Read the following SAT test question and then click on a button to select your answer.
" |9 C6 W' W: P3 h" V' T6 `
' l( I$ R9 N% k6 m
; ]; ]9 N2 B: Q
' e; N" L7 M! S% o+ c2 vIn the figure above,
and
  t% i6 `# Z) `$ f. If the dashed lines bisect the angles with measures of
+ _# t# t% h( e# `: [! {/ \* n and
, what is the value of
?

- [. j& V  M1 B0 E! ]4 y0 s0 q



/ ]0 ^, v: R! [$ J& Z% T5 GA.  


+ E* P. b9 S  m8 ?3 s! ]1 j8 ~B.  

! m  W  r' a% n- u  t0 _4 @
6 J  ?5 s* e" `% N* D; E. @! b0 j, MC.  
/ P, s2 R' P, i7 Q6 l8 t. u5 v
2 V. U6 D# R: z- `, V# @# X8 D: F
) M9 m  S% I' w- fD.  
, ^; i" Q& A1 |0 n! C% }
: z. L$ P3 N% f
# i& i" `9 S6 O" X3 W& JE.  
5 v. b- l* l8 M- j
, x: ~* q" }! [4 c/ d
正确答案:E

解析:
# C. q! d0 o# D' S9 f: @2 {$ g- ?

% k" q; n, r) k7 ?
First, add the labeled points A, B , C,D ,E , and  Oto the figure, as shown above. Then segment
8 K" K% X  i! L' z bisects
- X  }" k# J/ u , so
, and
( m" P- `9 n; R  R. u . Thus,
7 H2 \: E8 ?! ] . Similarly,
, because  
' J/ M7 g$ a& d+ _and  
are of equal measure and the sum of their measures is
. From the figure, it follows that
. Therefore,
.
4 o- h% [$ z# A+ @* M# \
% `7 w+ A6 ~  F
3 C4 W/ X1 @! n
) F  W! U! \' i  ?4 z